MITTAG-LEFFLER-HYERS-ULAM-RASSIAS STABILITY OF DETERMINISTIC SEMILINEAR FRACTIONAL VOLTERRA INTEGRAL EQUATION AND OF STOCHASTIC SYSTEMS BY BROWNIAN MOTION

被引：0

作者：

Moharramnia, A. ^{[1
]}

Eghbali, N. ^{[1
]}

Rassias, J. M. ^{[2
]}

机构：

[1] Univ Mohaghegh Ardabili, Fac Sci, Dept Math & Applicat, Ardebil 5619911367, Iran

[2] Natl & Kapodistrian Univ Athens, Pedag Dept Math, 4 Agamemnonos Str, Aghia Paraskevi 15342, Attikis, Greece

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2020年 / 82卷 / 01期

关键词：

Mittag-Leffler-Hyers-Ulam stability; Mittag-Leffler-Hyers-Ulam-Rassias stability; deterministic Volterra integral equation; Chebyshev norm; Bielecki norm; Asymptotic stability; FIXED-POINT APPROACH; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define and investigate Mittag-Leffler-Hyers-Ulam and Mittag-Leffler-Hyers-Ulam-Rassias stability of deterministic semilinear fractional Volterra integral equation. Also, we prove that this equation is stable with respect to the Chebyshev and Bielecki norms. The stability of stochastic systems driven by Brownian motion has also been studied.

引用

页码：103 / 110

页数：8

共 42 条

[41] Shifted Chebyshev spectral Galerkin method to solve stochastic Ito-Volterra integral equations driven by fractional Brownian motion appearing in mathematical physics
Singh, P. K.
Ray, S. Saha
COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (03)
[42] Viscoelastic Kelvin-Voigt model on Ulam-Hyer's stability and T-controllability for a coupled integro fractional stochastic systems with integral boundary conditions via integral contractors
Chalishajar, Dimplekumar
Kasinathan, Dhanalakshmi
Kasinathan, Ramkumar
Kasinathan, Ravikumar
CHAOS SOLITONS & FRACTALS, 2025, 191

← 1 2 3 4 5 →